Title Geometries for the group PSL(3,4) Authors Harald Gottschalk and Dimitri Leemans Reference European J. Combin. 24(2003), 267-291. Abstract We classify all firm, residually connected coset geometries, on which the group PSL(3,4) acts as a flag-transitive automorphism group fulfilling the residually weakly primitive condition: The stabilizer of any flag F acts primitively on the elements of some type in the residue G_F. We demand also that every residue of rank two satisfies the intersection property. We give geometric constructions for all geometries obtained.